461360 has 40 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 179712.

The previous prime is 461359. The next prime is 461381. The reversal of 461360 is 63164.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5801 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2⁴⁶¹³⁶⁰ is an apocalyptic number.

461360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560).

461360 is an abundant number, since it is smaller than the sum of its proper divisors (639760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461360 is a wasteful number, since it uses less digits than its factorization.

461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 461360 is about 679.2348636517. The cubic root of 461360 is about 77.2704271099.

The spelling of 461360 in words is "four hundred sixty-one thousand, three hundred sixty".